101321120401 has 8 divisors (see below), whose sum is σ = 102417744744. Its totient is φ = 100225559040.

The previous prime is 101321120371. The next prime is 101321120449. The reversal of 101321120401 is 104021123101.

It can be written as a sum of positive squares in 4 ways, for example, as 3110962176 + 98210158225 = 55776^2 + 313385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101321120401 - 2⁷ = 101321120273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101321120801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73330 + ... + 456091.

It is an arithmetic number, because the mean of its divisors is an integer number (12802218093).

Almost surely, 2^101321120401 is an apocalyptic number.

It is an amenable number.

101321120401 is a deficient number, since it is larger than the sum of its proper divisors (1096624343).

101321120401 is an equidigital number, since it uses as much as digits as its factorization.

101321120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531491.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101321120401 its reverse (104021123101), we get a palindrome (205342243502).

The spelling of 101321120401 in words is "one hundred one billion, three hundred twenty-one million, one hundred twenty thousand, four hundred one".